200102100011001 has 12 divisors (see below), whose sum is σ = 306038505899412. Its totient is φ = 125554258830336.

The previous prime is 200102100010991. The next prime is 200102100011057. The reversal of 200102100011001 is 100110001201002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128594443322601 + 71507656688400 = 11339949^2 + 8456220^2 .

It is not a de Polignac number, because 200102100011001 - 2⁹ = 200102100010489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200102100011501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653928431256 + ... + 653928431561.

It is an arithmetic number, because the mean of its divisors is an integer number (25503208824951).

Almost surely, 2^{200102100011001} is an apocalyptic number.

It is an amenable number.

200102100011001 is a deficient number, since it is larger than the sum of its proper divisors (105936405888411).

200102100011001 is a wasteful number, since it uses less digits than its factorization.

200102100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307856862840 (or 1307856862837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200102100011001 its reverse (100110001201002), we get a palindrome (300212101212003).

The spelling of 200102100011001 in words is "two hundred trillion, one hundred two billion, one hundred million, eleven thousand, one".